In a team of seven members, the average age of six of the members is 42 years while the age of the seventh member of the
team is 36 years more than the average age of all the seven members taken together. Find the age (in years) of the seventh
member of the team.

Question

Accepted Answer

Let the average age of all seven members be x years.

Given that the average age of six members is 42 years, so the total age of these six members = 6 * 42 = 252 years.

The age of the seventh member is 36 years more than the average age of all seven members, so age of seventh member = x + 36.

Total age of all seven members = 7 * x.

Sum of ages of six members + age of seventh member = total age of all seven members
=> 252 + (x + 36) = 7x  
=> 252 + x + 36 = 7x  
=> 288 + x = 7x  
=> 288 = 6x  
=> x = 48

Age of seventh member = x + 36 = 48 + 36 = 84 years.

Answer

Answer

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